Mathematics And Logic in History And in Contemporary ThoughtThis book is not a conventional history of mathematics as such, a museum of documents and scientific curiosities. Instead, it identifies this vital science with the thought of those who constructed it and in its relation to the changing cultural context in which it evolved. Particular emphasis is placed on the philosophic and logical systems, from Aristotle onward, that provide the basis for the fusion of mathematics and logic in contemporary thought. |
Contents
9 | |
13 | |
20 | |
The Logic of Aristotle | 60 |
Euclids Elements in Hellenistic culture | 76 |
Archimedes | 103 |
Apollonius and His Followers | 117 |
Mathematics in the Roman World | 124 |
Modern Infinitesimal Analysis and the Philo sophical Thought of its Constructors | 192 |
From the Origins of Projective Geometry to the Development of the Erlanger Programme | 239 |
NonEuclidean Geometries | 251 |
Combinatorial Analysis and Calculus of Probability | 286 |
Sets Functions Curves NonArchimedean Geometries | 292 |
Symbolic Logic and the Fundamentals of Arithmetic | 315 |
HypotheticalDeductive Systems NonContra | 341 |
Problems of Contemporary Logic | 351 |
Other editions - View all
Mathematics and Logic in History and in Contemporary Thought Ettore Carruccio,Isabel Quigly Limited preview - 2017 |
Mathematics and Logic in History and in Contemporary Thought Ettore Carruccio,Isabel Quigly Limited preview - 2017 |